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 A219917 Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 4Xn array 1

%I

%S 10,12,62,234,758,2215,6089,16131,41601,104732,257383,617366,1446049,

%T 3311000,7420755,16302242,35149900,74472705,155215596,318538842,

%U 644261359,1285237151,2530717545,4921902564,9460533531,17981787273

%N Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 4Xn array

%C Row 4 of A219915

%H R. H. Hardin, <a href="/A219917/b219917.txt">Table of n, a(n) for n = 1..110</a>

%F Empirical: a(n) = (1/15511210043330985984000000)*n^25 - (1/41363226782215962624000)*n^24 + (1457/310224200866619719680000)*n^23 - (2713/4496002911110430720000)*n^22 + (692183/12261826121210265600000)*n^21 - (52121/12975477376942080000)*n^20 + (135697207/613091306060513280000)*n^19 - (50515063/5377993912811520000)*n^18 + (189739535861/645359269537382400000)*n^17 - (14435259581/2530820664852480000)*n^16 - (348742189027/41758540970065920000)*n^15 + (3841409550029/662833983651840000)*n^14 - (8531529279941851/32121954592358400000)*n^13 + (212321253363400639/27839027313377280000)*n^12 - (74469442749409999/474528874659840000)*n^11 + (1457206854846086857/632705166213120000)*n^10 - (52637202981307688197/2520934646630400000)*n^9 + (1604277946247058503/128047474114560000)*n^8 + (10327649418025476087671/3193183885731840000)*n^7 - (262245096788378333916653/4257578514309120000)*n^6 + (65733979379968942434416599/97569507619584000000)*n^5 - (1586281697443237016871331/325231692065280000)*n^4 + (2882015655253652215006627/124672148625024000)*n^3 - (1369403974857258551719/21202746364800)*n^2 + (1006233194174754023/13385572200)*n + 27103060 for n>17

%e Some solutions for n=3

%e ..2..0..0....1..1..1....1..0..0....0..0..0....1..1..1....0..0..0....0..0..0

%e ..2..0..0....1..0..0....1..0..0....0..0..0....0..0..0....0..0..0....0..0..0

%e ..2..0..0....1..0..0....1..0..0....2..2..2....0..0..0....1..1..2....0..0..0

%e ..2..0..0....1..0..0....1..1..1....2..2..2....0..0..0....1..1..2....2..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 01 2012

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Last modified May 31 09:30 EDT 2020. Contains 334748 sequences. (Running on oeis4.)